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Finding the Fourth Proportional to 326,146.41, 489,265.75 and 101,529.51

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Solution

The fourth proportional to 326,146.41, 489,265.75 and 101,529.51 is: 152,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,146.41 : 489,265.75 = 101,529.51 : x
  2. Step 2: Convert to fraction form
    326,146.41/489,265.75 = 101,529.51/x
  3. Step 3: Cross multiply
    326,146.41x = 489,265.75 × 101,529.51
  4. Step 4: Simplify right side
    326,146.41x = 49,674,911,857.28
  5. Step 5: Solve for x
    x = 49,674,911,857.28/326,146.41
  6. Step 6: Final answer
    x = 152,308.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.